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Traces of Hecke Operators (Mathematical Surveys and Monographs)
Andrew Knightly
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Description for Traces of Hecke Operators (Mathematical Surveys and Monographs)
Hardcover. The Fourier coefficients of modular forms are of widespread interest as an important source of arithmetic information. This book covers the Eichler-Selberg/Hijikata trace formula for the traces of Hecke operators on spaces of holomorphic cusp forms of weight $\mathtt{k}>2$ for congruence subgroups of $\operatorname{SL}_2(\mathbf{Z})$. Series: Mathematical Surveys and Monographs. Num Pages: 378 pages, Illustrations. BIC Classification: PBH. Category: (P) Professional & Vocational. Dimension: 263 x 187 x 25. Weight in Grams: 824.
The Fourier coefficients of modular forms are of widespread interest as an important source of arithmetic information. In many cases, these coefficients can be recovered from explicit knowledge of the traces of Hecke operators. The original trace formula for Hecke operators was given by Selberg in 1956. Many improvements were made in subsequent years, notably by Eichler and Hijikata. This book provides a comprehensive modern treatment of the Eichler-Selberg/Hijikata trace formula for the traces of Hecke operators on spaces of holomorphic cusp forms of weight $\mathtt{k >2$ for congruence subgroups of $\operatorname{SL 2(\mathbf{Z )$. The first half of the ... Read more
The Fourier coefficients of modular forms are of widespread interest as an important source of arithmetic information. In many cases, these coefficients can be recovered from explicit knowledge of the traces of Hecke operators. The original trace formula for Hecke operators was given by Selberg in 1956. Many improvements were made in subsequent years, notably by Eichler and Hijikata. This book provides a comprehensive modern treatment of the Eichler-Selberg/Hijikata trace formula for the traces of Hecke operators on spaces of holomorphic cusp forms of weight $\mathtt{k >2$ for congruence subgroups of $\operatorname{SL 2(\mathbf{Z )$. The first half of the ... Read more
Product Details
Format
Hardback
Publication date
2006
Publisher
American Mathematical Society
Condition
New
Series
Mathematical Surveys and Monographs
Place of Publication
Providence, United States
ISBN
9780821837399
SKU
V9780821837399
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
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